Search a number
-
+
22779016704 = 293219534909
BaseRepresentation
bin10101001101101111…
…000011011000000000
32011210111201221111100
4111031233003120000
5333122412013304
614244201214400
71434325306263
oct251557033000
964714657440
1022779016704
11972a185444
1244b8791400
1321c0369012
141161406cda
158d4c0d439
hex54dbc3600

22779016704 has 240 divisors, whose sum is σ = 70521937200. Its totient is φ = 7056211968.

The previous prime is 22779016699. The next prime is 22779016789. The reversal of 22779016704 is 40761097722.

It is a super-2 number, since 2×227790167042 (a number of 22 digits) contains 22 as substring.

It is a hoax number, since the sum of its digits (45) coincides with the sum of the digits of its distinct prime factors.

It is a self number, because there is not a number n which added to its sum of digits gives 22779016704.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 4637802 + ... + 4642710.

It is an arithmetic number, because the mean of its divisors is an integer number (293841405).

Almost surely, 222779016704 is an apocalyptic number.

22779016704 is a gapful number since it is divisible by the number (24) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 22779016704, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (35260968600).

22779016704 is an abundant number, since it is smaller than the sum of its proper divisors (47742920496).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

22779016704 is a wasteful number, since it uses less digits than its factorization.

22779016704 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5005 (or 4986 counting only the distinct ones).

The product of its (nonzero) digits is 296352, while the sum is 45.

The spelling of 22779016704 in words is "twenty-two billion, seven hundred seventy-nine million, sixteen thousand, seven hundred four".